Bypass capacitors are optional, and maybe required if the supply line is extremely noisy at high frequencies. TI recommends that a local supply decoupling capacitor be used to reduce noise. For noisy environments, TI recommends a 100-nF supply decoupling capacitor placed closed across the VDD and GND pins of the LM26LV or LM26LV-Q1.
The LM26LV and LM26LV-Q1 are virtually immune from false triggers on the OVERTEMP and OVERTEMP digital outputs due to noise on the power supply. Test have been conducted showing that, with the die temperature within 0.5°C of the temperature trip point, and the severe test of a 3 V***pp square wave "***noise" signal injected on the VDD line, with VDD from 2 V to 5 V, there were no false triggers.